Finding the Fourth Proportional to 10,667.84, 16,002.05 and 2,876.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,667.84 : 16,002.05 = 2,876.63 : x
2. Step 2: Convert to fraction form
   10,667.84/16,002.05 = 2,876.63/x
3. Step 3: Cross multiply
   10,667.84x = 16,002.05 × 2,876.63
4. Step 4: Simplify right side
   10,667.84x = 46,031,882.70
5. Step 5: Solve for x
   x = 46,031,882.70/10,667.84
6. Step 6: Final answer
   x = 4,315.02